Evaluate: (4x)2 when x = 3

theoretical probability is based on logic as in:

there's a spinner with five equal sections. There would be a theoretical probability of 20% for each section

Experimental probability is based on results of previous experiments such as:

Damien spun that same spinner 10 times and landed on the red section 3 of ten times

The value of x that makes the line containing (1,2) and (5,3) perpendicular to the line containing (x,4) and (3,0) is x = 2.

To determine the value of x such that the line containing (1,2) and (5,3) is perpendicular to the line containing (x,4) and (3,0), we need to find the slope of both lines and apply the concept of perpendicular lines.

The slope of a line can be found using the formula:

slope = (change in y) / (change in x)

For the line containing (1,2) and (5,3), the slope is:

slope1 = (3 - 2) / (5 - 1) = 1 / 4

To find the slope of the line containing (x,4) and (3,0), we use the same formula:

slope2 = (0 - 4) / (3 - x) = -4 / (3 - x)

Perpendicular lines have slopes that are negative reciprocals of each other. In other words, if the slope of one line is m, then the slope of a line perpendicular to it is -1/m.

So, we can set up the equation:

-1 / (1/4) = -4 / (3 - x)

Simplifying this equation:

-4 = -4 / (3 - x)

To remove the fraction, we can multiply both sides by (3 - x):

-4(3 - x) = -4

Expanding and simplifying:

-12 + 4x = -4

Adding 12 to both sides:

4x = 8

Dividing both sides by 4:

x = 2

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Answer:

the equation 10 = x - y

Step-by-step explanation:

Let x represent the initial value of the investment, and let y represent the amount of money that each person receives after the investment is withdrawn.

We know that the cost of withdrawing the investment is $10, so we can write the equation 10 = x - y. We also know that each person receives $40, so we can write the equation y = 40.

We can now solve for x by substituting the value of y into the first equation. Since y = 40, we can substitute 40 for y in the equation 10 = x - y to get 10 = x - 40. Solving this equation for x, we find that x = 50.

Therefore, the initial value of the investment was $50.

Answer:

Step-by-step explanation:

What is 3-3×6+2 please?

remember PEMDAS

3 - 3 × 6 + 2 =    (solve multiplication)

3 - 18 + 2 =         (solve addition)

3 - 16 =              (solve subtraction)

-13                     (result)

Answer:  118

Step-by-step explanation:

The two figures' angles are identical so the angles would have the same measurements

DE and FG have the same slope, so both the sides are parallel. The opposite side of the quadrilateral are equal. Because, the opposite side of the quadrilateral are equal and parallel, DEFG is a parallelogram.

A quadrilateral having two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side. 360 degrees is the sum of all interior angles.

A parallelepiped is a three-dimensional shape with parallelogram-shaped faces.

DE and FG have the same slope, so both the sides are parallel.

Since, DE = FG, the opposite side of the quadrilateral are equal.

Because, the opposite side of the quadrilateral are equal and parallel, DEFG is a parallelogram.

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Answer:

20

Step-by-step explanation:

1:0.8 is 5:4. 16 is the 4 and so the 5 is 4(1)x5 = 20.

Answer:

$23.85

Step-by-step explanation:

39.95 x 3 which can also be 39.95 + 39.95 + 39.95=119.85

So then do 143.70-119.85 to find the answer which is 23.85.

Answer:

$23.85

Step-by-step explanation:

Take $39.35 and multiply x3

(39.35 x 3) OR (39.35 + 39.35 + 39.35)  

Then take $143.70 and subtract.

($143.70 - $119.85)

= $23.85

Answer:

immigrants as a percentage of a country's population for each year

Step-by-step explanation:

it is a much better to explain immigration rates because there's a much better chance to get the right % then some random number

Answer:

b- took it

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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Answer:

Step-by-step explanation:

To get the y values all you need to do is substitute the x value in the equation y=-2/3x+7.

For example:

y=-2/3(-6)=7

-2/3x6=-4

-4+7=3

(-6,3)

You can double check your work by filling the x and y coordinates in the equation and when solved if it it true you know you were correct.

To get the x value, you need to fill in the y in the equation y=-2/3x+7

for example:

5=-2/3x+7

-2=-2/3x

3=x

(3,5)

y=-2/3x+7

y=-2/3(15)+7

y=-10+7

y=-3

(15,-3)

y=-2/3x+7

15=-2/3x+7

8=-2/3x

-12=x

(-12,15)

Answer:

14.4

Step-by-step explanation:

1) 16^2-7^2=207

2) square root of 207 is 14.4 (to 1 decimal place).

The volume of the cylinder is 602.9 cm³

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We need to find the volume of the cylinder whose height is 3 cm and diameter is 16 cm.

Radius =16/2=8 cm.

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder.

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

As per the given figure,

The radius of a cylinder is 8 cm and the height of the cylinder is 3 cm.

V = 3.14×8²×3

=3.14×64×3

=602.88=602.9 cm³

Hence, the volume of the cylinder is 602.9 cm³

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Answer:

  1/216

Step-by-step explanation:

The ratio of volumes of similar shapes is the cube of the scale factor. The filled portion of the cone is similar to the entire cone.

If the filled height is 1/6 of the total height, the scale factor for linear dimensions is 1/6.

The scale factor for the volume is the cube of the scale factor for linear dimensions. it is ...

  (1/6)³ = 1/216

The volume of the filled portion of the cup is 1/216 of the volume of the cup.

Answer:

1.) inverse proportion : 1kx = y

2) direct proportion. y = kx

Answer:

(0, 14)

Step-by-step explanation:

The point (0, -2) is 8 spaces away from the reflection line of y = 6, so just count 8 spaces up from the reflection line.

:)

The exact value of sin(5π/12) is (√6 + √2)/4

From the question, we have the following parameters that can be used in our computation:

sin 5pi/12

Express properly

So, we have

sin(5π/12)

Convert the angle to degrees

This gives

sin(5π/12) = sin(5/12 * 180)

Evaluate

sin(5π/12) = sin(75)

The actual value of sin(75) is (√6 + √2)/4

This means that

sin(5π/12) = (√6 + √2)/4

Hence, the exact value of sin(5π/12) is (√6 + √2)/4

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The exact value of sin 5π/12 is (√6 + √2)/4

The trigonometric functions are real functions which relate an angle of a right-angled triangle to ratios of two side lengths.

Angle in trigonometry can be measured in either degree or radian.

π is a measurement in radian which is equivalent to 180° in degrees.

Therefore:

5π/12 = 5 × 180/12

= 75°

Therefore sin5π/12 = sin75°

sin75 = sin( 45+30) = sin45cos30+ cos 45sin30

= 1/√2 × √3/2 + 1/√2 × 1/2

= √3/2√2 + 1/2√2

= (√3+1)/2√2

rationalizing;

(2√6 + 2√2)/8

dividing through by 2

=(√6 + √2)/4

therefore tan75 =(√6 + √2)/4

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Answer:

Step-by-step explanation:

It's completely false. If I remember the odds it takes 23 people to get a probability of 1/2 to get a 50% chance of two of the people to have the same day, never mind the same year.

When I was growing up, I had the pleasure of sharing my birthday on the same day as one of my classmates. I was in Grade Three at the time. We were  born in the same year. That's the only time I ever heard of it during my childhood. There were 26 in the class.

Later on when I was teaching I tried it in a class of 20. I had forgotten that the class contained a set of twins.

If the class is more random 23 people gives a 50% chance of a duplication of the year but not the year.

Answer:

c. 1 and 14

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

i did the quiz

figure #1

smaller part

4x7x2= 56m

larger part

4x3x7= 84m

84+56= 140m³

figure #2

smaller part

2x4x3= 24m

larger part

4x4x12= 192m

192+24= 216in³

Answer:

3 is 140i think 4 is 396 (sorry if im wrong about 4)

Step-by-step explanation:

\(\large\huge\green{\sf{Answer:-}}\)

222+209-789-678+1000

222+209+1000-789-678

1431-(789+678)

1431-(1467)

-36

222+208-789-678+1000 = -36

Answer:

wut...

Step-by-step explanation:ㄒɦĄŊĸ ĦØφĒ ĮŤ ɧėŁP ♡✧♡

Answer:

86 :)

Step-by-step explanation: the bear =7, the controller=11, and the

penguin = 9 so 11x7+9 =86

Answer:

\(y=x+1\)

Step-by-step explanation:

I am assuming that, given the nature of the curve, you know what a derivative is, and you know how to compute the derivative of the ratio of two functions.

\(f'(x) = \frac1{(\sqrt x)^2}[(2x+0)\sqrt x-(x^2+1)(\frac1{2\sqrt x})]\)

Could be rewritten in a nicer form? Probably, do we care? No, let's just evaluate it for \(x=1\):

\(f'(1)=\frac11 [(2)(1)-(1+1)\frac12]=1[2-1]=1\)

We're almost done. We got the point, we have the slope, we can rewrite the tangent line as

\(y-y_0=f'(x_0)(x-x_0)\\y-2=1(x-1) \rightarrow y=x+1\)

Answer:

Its B.

Step-by-step explanation:

Answer:

I belived that would be B.

Step-by-step explanation:

B. will be your answer

hope this helps! I just finished these in math:)

have an amazing day! Study hard:)

Answer:

Step-by-step explanation:

The slope is -3/2.

The y-intercept is: (0,6)

In this case, we are to determine the probability of selecting two even numbers. This can be solved as follows:There are six even numbers: {2, 4, 6, 8, 10, 12}.We can use the concept of conditional probability since the first event affects the probability of the second event. This can be expressed as follows:

In this case, P(A) represents the probability of selecting an even number, and P(B|A) represents the probability of selecting an even number given that the first card selected was even. P(A) = 6/12 = 1/2 (there are six even numbers and twelve cards in total)P(B|A) = 5/11 (there are five even numbers left in the box after the first even number is selected, and eleven cards are left in total).

The probability of selecting two even numbers can be found by multiplying these probabilities: P(A) x P(B|A) = (1/2) x (5/11) = 5/22Therefore, the probability of selecting two even numbers is 5/22.Answer: 5/22

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Answer:

-15

Step-by-step explanation:

Replace c with 2,

(2)^2 -8(2) -3 =

4 - 16 -3 + -12

= -15

Step-by-step explanation:

perimeter of the given figure=24cm+24cm+30cm+20cm+20cm+20cm+5cm+5cm

=148cm

Answer:

148mm aka 1.48cm aka 1cm48mm

Step-by-step explanation:

to obtain the small thing between the"24mm" and"20mm":

(30mm-20mm)÷2

=5mm

so add up all those given information:

24mm+24mm+20mm+20mm+20mm+30mm+5mm+5mm

comment below if you still don't get it ;)